Page 1 :
M.K. MATHEMATICS (M.:8826181724), , CLASS:-X, , CHAP.-9, , TIME: 1:15hrs., , [M.M.: 20], , Very Short Answer Questions, , (1 mark), , Q.1 If the angle of elevation of a tower from a distance of 100 metres from its foot is, 60°, then the height of the tower is, (a) 100√3m, , (b), , √, , m, , (c) 50√3m, , (d), , √, , m, , Q.2 An observer 1.5m tall is 28.5 m away from a tower. The angle of elevation of the, top of the tower from her eyes is 45°. What is the height of the tower?, Q.3 The ratio of the length of a rod and its shadow is 1: √3. The angle of elevation of, the sum is, (a) 30°, (b) 45°, (c) 60°, (d) 90°, Q.4 The angle of depression of a car, standing on the ground, from the top of a 75 m, tower, is 30°. The distance of the car from the base of the tower (in metres) is, [CBSE 2013], , (a) 25√3, Long Answer Question, , (b) 50√3, , (c) 75√3, , (d) 150, (2 marks), , Q.5 A kite is flying at a height of 60 m above the ground. The string attached to the, kite is temporarily tied to a point on the ground. The inclination of the string with, the ground is 60°. Find the length of the string assuming that there is no slack in the, string., Q.6 From a point on the ground 40 m away from the foot of a tower, the angle of, elevation of the top of the tower is 30°. The angle of elevation of the top of a water, tank (on the top of the tower) is 45°. Find the (i) height of the tower (ii) the depth of, the tank., , 60 FEET ROAD, MAHAVIR ENCLAVE PART –III, ABOVE, PUNJAB &SIND BANK 2 FLOOR, , Page 1

Page 2 :
M.K. MATHEMATICS (M.:8826181724), , CLASS:-X, , CHAP.-9, , Q.7 A tree is broken by the wind. The top struck the ground at an angle of 30° and at, a distance of 30 metres-from the root. Find the whole height of the tree., Long Answer Question, , (3 marks), , Q.8 A 1.2 m tall girl spots a balloon moving with the wind in a horizontal line at a, height of 88.2 m from the ground. The angle of elevation of the balloon from the, eyes of the girl at any instant is 60°. After some time, the angle of elevation reduces, to 30°. Find the distance travelled by the balloon during the interval., Q.9 The angle of elevation of the top of the building from the foot of the tower is 30°, and the angle of the top of the tower from the foot of the building is 60°. If the tower, is 50 m high, find the height of the building., [CBSE 2012], Long Answer Question, , (4 marks), , Q.10 The angles of elevation of the top of a tower from two points at distances a and, b metres from the base and in the same straight line with it are complementary., Prove that the height of the tower is √ab metres., [HOTS] [CBSE 2002 C, 2004], , “Education is the movement from darkness to light”, ALL THE BEST, , 60 FEET ROAD, MAHAVIR ENCLAVE PART –III, ABOVE, PUNJAB &SIND BANK 2 FLOOR, , Page 2